 If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side is opposite the greater angle.  Plane Geometry - Page 53by William James Milne - 1899 - 242 pagesFull view - About this book
 | George Albert Wentworth - Geometry - 1899 - 496 pages
...is the value of each of the two remaining angles ? PROPOSITION XXVII. THEOREM. 153. EEC IPROC ALLY : If two angles of a triangle are unequal, the sides...and the greater side is opposite the greater angle. In the triangle ACB, let the angle C be greater than the angle B. To prove that AB > AC. Proof. Now... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...is the value of each of the two remaining angles ? PROPOSITION XXVII. THEOREM. 153. RECIPROCALLY : If, two angles of a triangle are unequal, .the sides...and the greater side is opposite the greater angle. B In the triangle ACB, let the angle C be greater than the angle B. To prove that AB > AC. Proof. Now... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...of each of the two remaining angles ? PROPOSITION XXVII. THEOREM. 153. RECIPROCALLY : If two angle* of a triangle are unequal, the sides opposite are...and the greater side is opposite the greater angle. In the triangle ACB, let the angle C be greater than the angle B. To prove that AB > AC. Proof. Now... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...is > either of the opposite int. A.\ (ยง 85) PROI-. XXXIII. THEOREM. 99. (Converse of Prop. XXXII.) If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side lies opposite the greater angle. A Given, in A ABC, Z ABC > Z C. To Prove AC > AB. Proof. Draw line... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...surface of the sphere. 384 THE SPHERE. PROPOSITION XXIV. THEOREM. 815. If two angles of a spherical triangle are unequal, the sides opposite are unequal,...and the greater side is opposite the greater angle ; CONVERSELY, if two sides are unequal, the angles opposite are unequal, and the greater angle is opposite... | |
 | William James Milne - Geometry - 1899 - 404 pages
...angles opposite these sides compare? Which one is the greater? Theorem. If two angles of a spherical triangle are unequal, the sides opposite are unequal,...and the greater side is opposite the greater angle; conversely, if two sides are unequal, the angles opposite are unequal, and the greater angle is opposite... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...surface of the sphere. 384 THE SPHERE. PROPOSITION XXIV. THEOREM. 815. If two angles of a spherical triangle are unequal, the sides opposite are unequal,...and the greater side is opposite the greater angle ; CONVERSELY, if two sides are unequal, the angles opposite are unequal, and the greater angle is opposite... | |
 | Webster Wells - Geometry - 1899 - 180 pages
...of ZO, and AC of Z B'. (?) .-. A5 = A(7. (?) PROP. XXVII. THEOREM. 613. If two angles of a spherical triangle are unequal, the sides opposite are unequal, and the greater side lies opposite the greater angle. Given, in spherical A ABC, Z ABC > Z C. To Prove AC > AB. (Prove by... | |
 | Webster Wells - Geometry - 1899 - 196 pages
...Z (7, and AC of Z .B'. (?) .-. AB = AC. (?) PROP. XXVII. THEOREM. 613. If two angles of a spherical triangle are unequal, the sides opposite are unequal, and the greater side lies opposite the greater angle. Given, in spherical A ABC, Z ABC > Z 0. To Prove AC > AB. (Prove by... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
....4.B of an isosceles triangle ABC is produced to D, then PLANE GEOMETRY PROPOSITION XXIX. THEOREM 125. If two angles of a triangle are unequal, the sides...opposite the greater angle. [Converse of Prop. XXVIII.] Hyp. In A ABC ZB > ZC. To prove AC > AB. Proof. AB must be either >, =, or < AC. If AB > AC, then ZC... | |
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